3(3x+3)=-4(3x-4)

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Solution for 3(3x+3)=-4(3x-4) equation:


Simplifying
3(3x + 3) = -4(3x + -4)

Reorder the terms:
3(3 + 3x) = -4(3x + -4)
(3 * 3 + 3x * 3) = -4(3x + -4)
(9 + 9x) = -4(3x + -4)

Reorder the terms:
9 + 9x = -4(-4 + 3x)
9 + 9x = (-4 * -4 + 3x * -4)
9 + 9x = (16 + -12x)

Solving
9 + 9x = 16 + -12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12x' to each side of the equation.
9 + 9x + 12x = 16 + -12x + 12x

Combine like terms: 9x + 12x = 21x
9 + 21x = 16 + -12x + 12x

Combine like terms: -12x + 12x = 0
9 + 21x = 16 + 0
9 + 21x = 16

Add '-9' to each side of the equation.
9 + -9 + 21x = 16 + -9

Combine like terms: 9 + -9 = 0
0 + 21x = 16 + -9
21x = 16 + -9

Combine like terms: 16 + -9 = 7
21x = 7

Divide each side by '21'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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